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Finding the Fourth Proportional to 647.26, 970.96 and 214.42

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Solution

The fourth proportional to 647.26, 970.96 and 214.42 is: 321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.26 : 970.96 = 214.42 : x
  2. Step 2: Convert to fraction form
    647.26/970.96 = 214.42/x
  3. Step 3: Cross multiply
    647.26x = 970.96 × 214.42
  4. Step 4: Simplify right side
    647.26x = 208,193.24
  5. Step 5: Solve for x
    x = 208,193.24/647.26
  6. Step 6: Final answer
    x = 321.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.